General Relativity and Gravitation

, Volume 22, Issue 7, pp 721–734 | Cite as

Conformally equivalent metrics in bimetric general relativity

  • Ilija Lukačević
Research Articles
  • 37 Downloads

Abstract

Space-times conformal to physical space-time are considered, assuming the nongravitational energy is conservative after the conformal transformation. Necessary and sufficient conditions satisfied by the conformal factor axe found for a given type of transformation of the energy tensor. The weak gravitational field is defined and the coordinate conditions for the existence of conformal factors in such a field are obtained.

Keywords

General Relativity Differential Geometry Gravitational Field Conformal Transformation Conformal Factor 

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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Ilija Lukačević
    • 1
  1. 1.Faculty of MathematicsUniversity of BelgradeBeogradYugoslavia

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